Answer:
The probability that the person gets a speeding ticket is 0.27
Step-by-step explanation:
The probability that the person receives a speeding ticket is the probability that the person passes through any of the speed limits and the radar is operating at that time.
Let 
is the probability that the person passes through radar 
and it is operating at that time is
Where
P(1) is the probability of person passes through
P(2) is probability that the radar is operating
Similarly the probabilities are calculated for other radars in the similar manner as
Thus the reuired probability of the reuired event is
Answer:
$38,562.5
Step-by-step explanation
Using the compound interest formula
A = P(1+r/n)^nt
P is the principal = $125,000
r is the rate = 6% = 0.06
time t = 5years
n = 0.25 (quarterly payment)
Substitute
A = 125000(1+0.06/0.25)^5(0.25)
A = 125000(1+ 0.24)^1.25
A = 125000(1.24)^1.25
A = 125000(1.3085)
A = 163,562.5
Hence the interest earned = 163,562.5 - 125000
interest earned = $38,562.5
Answer:
A
Step-by-step explanation:
For a graph to be representative of a proportional relationship, it must meet the following criteria:
1) It is a straight line.
2) It passes through the origin point (0,0).
3) It is neither horizontal nor vertical*.
We can see that D is not a line. So, D is not a proportional relationship.
We can also see that B and C are vertical and horizontal, respectively. They also do not cross the origin.
The only choice that is a straight line and also crosses through the origin point is A.
So, our answer is A.
And we're done!
*Note: Vertical lines are not proportional because they are not a function.
Horizontal lines are not proportional because they has a constant of proportionality of 0, which can't be the case.
Answer:
2 and 3 look similar to A
1, 4, 5 and 6 are not similar to A .
hopefully you got it right.
